The influence of the magnetic field, temperature, and chemical potential on the phase structure of a system in (2 + 1)-dimensional space–time with one compactified spatial dimension (cylinder) was studied in the framework of the modified Gross–Neveu model. The Zeeman effect that is induced by an external magnetic field parallel to the cylinder axis is considered. The system magnetization that is created due to the Zeeman effect was plotted. The possible generalization of these results to carbon nanotubes is noted.
04.60.Kz Lower dimensional models; minisuperspace models
11.10.Wx Finite-temperature field theory
Department of Physics, Moscow State University, Moscow, 119991 Russia
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